Practice Quiz #1
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Correct!
Find the derivative of the function f(x,y)=2x2−y2 at the point M=(1,1) in the direction forming π/3 angle with x-axis.
This function is differentiable, thus one could use the formula with scalar product and gradient
Assume f(x,y,z)=xyz. Find the directional derivative at point (2,1,1) in the direction of the vector l=(1,2,2).
Correct!
For the function f(x,y)=exp(ax+by) find the maximal possible value of the directional derivative at the point (1/(2a),1/(2b))
Correct! Simple looking, write?